Clifford Analysis and Related Topics
In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17
Editors: Cerejeiras, P., Nolder, C.A., Ryan, J., Vanegas Espinoza, C.J. (Eds.)
Free Preview- Highlights new developments in the main directions of Clifford analysis
- Offers new perspectives and outlines current trends for researchers interested in or working on these topics
- Theoretical contributions were written by leading experts in the field, while contributions of an expository nature were written for persons working in these areas and are easily accessible for non-specialists
- Commemorates the work of Paul Dirac
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- About this book
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This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis. Just as complex analysis is based on the algebra of the complex numbers, Clifford analysis is based on the geometric Clifford algebras. Many methods and theorems from complex analysis generalize to higher dimensions in various ways. However, many new features emerge in the process, and much of this work is still in its infancy.
Some of the leading mathematicians working in this field have contributed to this book in conjunction with “Clifford Analysis and Related Topics: a conference in honor of Paul A.M. Dirac,” which was held at Florida State University, Tallahassee, on December 15-17, 2014. The content reflects talks given at the conference, as well as contributions from mathematicians who were invited but were unable to attend. Hence much of the mathematics presented here is not only highly topical, but also cannot be found elsewhere in print. Given its scope, the book will be of interest to mathematicians and physicists working in these areas, as well as students seeking to catch up on the latest developments.
- Table of contents (9 chapters)
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Lambda-Harmonic Functions: An Expository Account
Pages 1-17
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Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformally Flat Cylinders and Tori in $$\mathbb {R}^3$$
Pages 19-37
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From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds
Pages 39-51
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On Some Conformally Invariant Operators in Euclidean Space
Pages 53-72
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Notions of Regularity for Functions of a Split-Quaternionic Variable
Pages 73-96
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Clifford Analysis and Related Topics
- Book Subtitle
- In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17
- Editors
-
- Paula Cerejeiras
- Craig A. Nolder
- John Ryan
- Carmen Judith Vanegas Espinoza
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 260
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-00049-3
- DOI
- 10.1007/978-3-030-00049-3
- Hardcover ISBN
- 978-3-030-00047-9
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- VII, 152
- Topics
